diff --git a/grayskull/config.py b/grayskull/config.py
index c3a961c17..5ca41c92a 100644
--- a/grayskull/config.py
+++ b/grayskull/config.py
@@ -19,6 +19,7 @@ class Configuration:
             PyVer(3, 9),
             PyVer(3, 10),
             PyVer(3, 11),
+            PyVer(3, 12),
         ]
     )
     py_cf_supported: List[PyVer] = field(
@@ -29,6 +30,7 @@ class Configuration:
             PyVer(3, 9),
             PyVer(3, 10),
             PyVer(3, 11),
+            PyVer(3, 12),
         ]
     )
     is_strict_cf: bool = False
diff --git a/grayskull/strategy/pypi.py b/grayskull/strategy/pypi.py
index b49f97db8..2e9a40ff1 100644
--- a/grayskull/strategy/pypi.py
+++ b/grayskull/strategy/pypi.py
@@ -1,3 +1,4 @@
+import itertools
 import json
 import logging
 import os
@@ -530,6 +531,25 @@ def update_recipe(recipe: Recipe, config: Configuration, all_sections: List[str]
                 output["build"]["noarch"] = "python"
 
 
+def check_noarch_python_for_new_deps(
+    host_req: List, run_req: List, config: Configuration
+):
+    if not config.is_arch:
+        return
+    for dep in itertools.chain(host_req, run_req):
+        dep = dep.strip()
+        only_name = re.split(r"[~^<>=!#\s+]+", dep)[0].strip()
+        if (
+            "# [" in dep
+            or dep.startswith("<{")
+            or only_name in config.pkg_need_c_compiler
+            or only_name in config.pkg_need_cxx_compiler
+        ):
+            config.is_arch = True
+            return
+    config.is_arch = False
+
+
 def extract_requirements(metadata: dict, config, recipe) -> Dict[str, List[str]]:
     """Extract the requirements for `build`, `host` and `run`"""
     name = metadata["name"]
@@ -575,6 +595,7 @@ def extract_requirements(metadata: dict, config, recipe) -> Dict[str, List[str]]
     if config.is_strict_cf:
         host_req = remove_selectors_pkgs_if_needed(host_req)
         run_req = remove_selectors_pkgs_if_needed(run_req)
+        check_noarch_python_for_new_deps(host_req, run_req, config)
     result = {}
     if build_req:
         result = {
diff --git a/tests/test_pypi.py b/tests/test_pypi.py
index b1e9bae93..d717fb741 100644
--- a/tests/test_pypi.py
+++ b/tests/test_pypi.py
@@ -32,6 +32,7 @@
 )
 from grayskull.strategy.pypi import (
     PypiStrategy,
+    check_noarch_python_for_new_deps,
     compose_test_section,
     extract_optional_requirements,
     extract_requirements,
@@ -1356,3 +1357,15 @@ def test_metadata_pypi_none_value(mock_get_data):
 )
 def test_remove_all_inner_none(param, result):
     assert remove_all_inner_nones(param) == result
+
+
+def test_check_noarch_python_for_new_deps():
+    config = Configuration(
+        is_strict_cf=True, name="abcd", version="0.1.0", is_arch=True
+    )
+    check_noarch_python_for_new_deps(
+        ["python >=3.6", "pip"],
+        ["dataclasses >=3.6", "python >=3.6"],
+        config,
+    )
+    assert config.is_arch is False